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Golden Ratio Calculator

Split any length by the golden ratio. Enter the whole, the longer part, or the shorter part, and get the other two plus the ratio.

The value you have is the

Any positive number, with or without decimals. The unit is up to you: pixels, points, ems, or plain numbers.

Golden-ratio split

100
Whole(entered)
61.8034
Longer part
38.1966
Shorter part
φ ≈ 1.618034
Whole : longer = longer : shorter. Longer is 61.8% of the whole, shorter is 38.2%.

Everything is calculated in your browser. Nothing is uploaded.

How to calculate the golden ratio

  1. Choose which part

    Pick whether the value you have is the whole, the longer part, or the shorter part.

  2. Enter your value

    Type a single positive number in the field, using decimals if you need them.

  3. Read the split

    The whole, longer part, shorter part, and the phi ratio update as you type.

  4. Copy the result

    Use the copy button to put the full breakdown on your clipboard.

Why use this tool

Solve from any part

Enter the whole, the longer part, or the shorter part, and the other two values are worked out from phi.

Fixed golden proportion

The longer part is always about 61.8 percent of the whole and the shorter part about 38.2 percent, the defining split of the golden ratio.

Built for type and layout

Start from a base font size or a container width to size a modular scale or place a golden division in a design.

Any unit, whole or decimal

Values can be pixels, points, ems, or plain numbers, with or without decimals. The tool works with the number and leaves the unit to you.

Instant, no run button

Every change recalculates immediately, so the parts and the ratio update the moment you type.

Runs entirely in your browser

Every calculation happens on your device. Nothing you type is uploaded.

About this tool

The golden ratio, written with the Greek letter phi, is about 1.618. It describes a split where the whole relates to the longer part exactly as the longer part relates to the shorter one. This calculator takes a single length and works out that split for you. Enter the whole, the longer part, or the shorter part, and it fills in the other two along with the ratio itself.

Designers reach for it when sizing type, spacing columns, or proportioning a layout. Start from a container width to find where a golden division falls, or start from a base font size to derive the next step in a modular scale. Values can be whole numbers or decimals, in whatever unit you like: pixels, points, ems, or centimetres. The tool only needs the number, and it updates the moment you type. For reducing or solving any ratio, use the ratio calculator, and for screen and image proportions the aspect ratio calculator solves a missing width or height.

Because the ratio is fixed at phi, the longer part is always about 61.8 percent of the whole and the shorter part about 38.2 percent, whichever value you start from. Empty fields, zero, negatives, and text that is not a number are caught with a short message rather than a broken result, and everything is calculated on your device with nothing uploaded.

Frequently asked questions

What is the golden ratio?
The golden ratio, phi, is about 1.618. A length is split so the whole is to the longer part as the longer part is to the shorter part. That single proportion is what this tool applies.
How do I use one value to get the others?
Choose whether your number is the whole, the longer part, or the shorter part, then type it. The calculator multiplies or divides by phi to fill in the remaining two values and the ratio.
Can I enter decimals or any unit?
Yes. Any positive number works, with or without decimals, in whatever unit you have in mind such as pixels, points, or ems. The tool works with the number and leaves the unit to you.
Why are the parts always about 61.8 and 38.2 percent?
Because the ratio is fixed at phi, the longer part is always about 61.8 percent of the whole and the shorter part about 38.2 percent, no matter which value you start from.
What happens with empty or invalid input?
Empty fields, zero, negative numbers, and text that is not a number show a short message instead of a result, so you never see a broken or misleading answer.
Is my data uploaded anywhere?
No. Everything runs in your browser; nothing is sent to a server.

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